A Hopf lemma for the regional fractional Laplacian

Nicola Abatangelo, Mouhamed Moustapha Fall, Remi Yvant Temgoua

We provide a Hopf boundary lemma for the regional fractional Laplacian $(-\Delta {)}_{\Omega }^s$, with $\Omega \subset {\mathbb{R}}^N$ a bounded open set. More precisely, given $u$ a pointwise or weak sup…